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Finding the Fourth Proportional to 380.66, 525.58 and 339.15

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Solution

The fourth proportional to 380.66, 525.58 and 339.15 is: 468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.66 : 525.58 = 339.15 : x
  2. Step 2: Convert to fraction form
    380.66/525.58 = 339.15/x
  3. Step 3: Cross multiply
    380.66x = 525.58 × 339.15
  4. Step 4: Simplify right side
    380.66x = 178,249.61
  5. Step 5: Solve for x
    x = 178,249.61/380.66
  6. Step 6: Final answer
    x = 468.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.